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Mariana [72]
3 years ago
14

Orchestra seats for a Symphony per-

Mathematics
1 answer:
slamgirl [31]3 years ago
7 0

Answer:

The Answer is that Orchestra seats were $15 and Balcony seats were $9.

Step-by-step explanation:

400(x+6) + 250x = 8250

400x + 2400 + 250x = 8250

650x + 2400 = 8250

650x = 5850

x = 9

Proof:

400(15) + 250(9) = 8250

6000 + 2250 = $8,250

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3 0
3 years ago
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The time required to finish a test is normally distributed with a mean of 60 minutes and a standard deviation of 10 minutes. Wha
valkas [14]
The answer is 0.3413 because Explanation:

<span>z=<span><span>x−u</span>σ</span></span>, where <span>u=6 0andσ=10</span>.

Therefore the probability student finish the test between 50 to 60 minutes is,

<span>P<span>(50≤x≤60)</span>=P<span>(<span><span>50−60</span>10</span>≤z≤<span><span>60−60</span>10</span>)</span></span>

<span>P<span>(−1≤z≤0)</span>=P<span>(z≤0)</span>−P<span>(z≤−1)</span></span>

<span>=0.5000−0.1587=<span>0.3413</span></span>

3 0
3 years ago
The first digit of two different numbers is in the hundred million's place. Both numbers contain the same digits. Can you determ
attashe74 [19]
Given situation: The first 2 digit of the 2 different numbers is in the hundred millions place.
Then both numbers also have the same digit.
Now, which is greater. Of the two numbers?
The answer would be the same. The same because they both have the place value of millions place and they also share the same digits.
Thus, I conclude the both different numbers have the same value.
And since they have the same value, they are equal



5 0
3 years ago
Reese is selling lemonade at the parade. He gets to keep 10% of the money he collects. A large lemonade is $7.00 and a small lem
jeka94

Answer:

We conclude that the simplified expression is:

0.10\left(7l\:+\:2s\right)=0.7l+0.2s

Step-by-step explanation:

Given the expression

0.10\left(7l\:+\:2s\right)

Apply the distributive law:   a(b+c) = ab+ac

a = 0.1, b = 7l, c = 2s

0.10\left(7l\:+\:2s\right)=0.1\cdot \:7l+0.1\cdot \:2s

                       =7\cdot \:0.1l+2\cdot \:0.1s

                        =0.7l+0.2s

Therefore, we conclude that the simplified expression is:

0.10\left(7l\:+\:2s\right)=0.7l+0.2s

4 0
3 years ago
The length of a rectangular field is 4 m longer than its width.
Artyom0805 [142]
We know the perimeter is the sum of all sides. So lenght+length+width+width = 2length+2width.
Let's call the width x. If the length is 4m longer, then it's x+4.
We know the perimeter, so we can make an equation:
56=2x+2(x+4)
And solve from there:
56=2x+2x+8
56=4x+8
48=4x
48/4=x
x=12

The width, which is x, is 12 m. And the length, x+4, is 16 m.
You can check this is correct by calculating the perimeter using those values: 12+12+16+16=56.
7 0
3 years ago
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